Lindblad- and non-Lindblad-type dynamics of a quantum Brownian particle

Maniscalco, Sabrina; Piilo, Jyrki; Intravaia, Francesco; Petruccione, Francesco; Messina, A.

doi:10.1103/physreva.70.032113

Cited by 96 publications

(152 citation statements)

References 48 publications

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“…From previous results [4,32,33] we expect to see different types of dynamics in the r ≪ 1 and r ≫ 1 regimes. Since we are interested in the non-Markovian dynamics occurring at time scales ω c t ≤ 1, we can use the secular master equation (7) when r ≪ 1, since in this case the secular approximation holds in the non-Markovian time scales.…”

Section: B Modeling the Reservoirmentioning

confidence: 99%

Decoherence control in different environments

Paavola

Maniscalco

2010

Phys. Rev. A

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We investigate two techniques for controlling decoherence, focusing on the crucial role played by the environmental spectrum. We show how environments with different spectra lead to very different dynamical behaviours. Our study clearly proves that such differences must be taken into account when designing decoherence control schemes. The two techniques we consider are reservoir engineering and quantum-Zeno control. We focus on a quantum harmonic oscillator initially prepared in a nonclassical state and derive analytically its non-Markovian dynamics in presence of different bosonic thermal environments. On the one hand we show how, by modifying the spectrum of the environment, it is possible to prolong or reduce the life of a Schrödinger cat state. On the other hand we study the effect of nonselective energy measurements on the degradation of quantumness of initial Fock states. In this latter case we see that the crossover between Zeno (QZE) and anti-Zeno (AZE) effects, discussed by Maniscalco et al. [Phys. Rev. Lett. 97, 130402 (2006)], is highly sensitive to the details of the spectrum. In particular, for certain types of spectra, even very small variations of the system frequency may cause a measurement-induced acceleration of decoherence rather than its inhibition.

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Section: B Modeling the Reservoirmentioning

confidence: 99%

Decoherence control in different environments

Paavola

Maniscalco

2010

Phys. Rev. A

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“…The analytical expression for the heating function is given by [18,46] n(t) = e −Γ(t) n(0) + 1 2 e −Γ(t) − 1 + ∆ Γ (t), (20) where Γ(t) and ∆ Γ (t) are defined as…”

Section: Heating Of a Quantum Brownian Particle A Markovian Thermmentioning

confidence: 99%

“…The QBM model is one of the few models of open quantum systems amenable to an analytical solution [1,2,[8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Environment-dependent dissipation in quantum Brownian motion

et al. 2009

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The dissipative dynamics of a quantum Brownian particle is studied for different types of environment. We derive analytic results for the time evolution of the mean energy of the system for Ohmic, sub-Ohmic and super-Ohmic environments, without performing the Markovian approximation. Our results allow to establish a direct link between the form of the environmental spectrum and the thermalization dynamics. This in turn leads to a natural explanation of the microscopic physical processes ruling the system time evolution both in the short-time non-Markovian region and in the long-time Markovian one. Our comparative study of thermalization for different environments sheds light on the physical contexts in which non-Markovian dissipation effects are dominant.

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“…[32] it has been shown that, going to low temperature, the position of the Brownian particle governed by the BMME experiences genuine squeezing along x in the Wigner function representation, i.e., δ x < 1. Similar squeezing effects are pointed out in [18], by studying the numerical solution of the exact ME. In the case of the LME, it was checked numerically that δ x introduced in Eq.…”

Section: T) (21)mentioning

confidence: 67%

“…Here, one of the unsolved issues regards the problem of the quantum-to-classical transition, i.e., the question of how do classical features we experience in the macroscopic world arise from the underlying quantum phenomena [3,[11][12][13]. Most of the theories addressing the emergence of the classical world deem it a consequence of the coupling of quantum systems with the environment [14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Lindblad model of quantum Brownian motion

et al. 2016

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The theory of quantum Brownian motion describes the properties of a large class of open quantum systems. Nonetheless, its description in terms of a Born-Markov master equation, widely used in the literature, is known to violate the positivity of the density operator at very low temperatures. We study an extension of existing models, leading to an equation in the Lindblad form, which is free of this problem. We study the dynamics of the model, including the detailed properties of its stationary solution, for both constant and position-dependent coupling of the Brownian particle to the bath, focusing in particular on the correlations and the squeezing of the probability distribution induced by the environment.

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Lindblad- and non-Lindblad-type dynamics of a quantum Brownian particle

Cited by 96 publications

References 48 publications

Decoherence control in different environments

Decoherence control in different environments

Environment-dependent dissipation in quantum Brownian motion

Lindblad model of quantum Brownian motion

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